Two-sided matching provides a model of search processes such as those between firms and workers in labor markets or between buyers and sellers in auctions. This text provides a comprehensive account of recent results concerning the game-theoretic analysis of two-sided matching.
Foreword Robert Auman; Acknowledgment; 1. Introduction; Part I. One-To-One Matching: the Marriage Model: 2. Stable matchings; 3. The structure of the set of stable matchings; 4. Strategic questions; Part II. Many-To-One Matching: Models in which Firms May Employ Many Workers: 5. The college admissions model and the labor market for medical interns; 6. Discrete models with money, and more complex preferences; Part III. Models of One-To-One Matching with Money as a Continuous Variable: 7. A simple model of one seller and many buyers; 8. The assignment game; 9. The generalization of the assignment model; Part IV. Epilogue: 10. Open questions and research directions; Bibliography; Indexes.